What Is Fuzzy Logic?

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genfis2 Example 3 The following example specifies how to normalize the data in Xin and Xout into values in the range [0 1] for processing. Suppose Xin has two columns and Xout has one column, then the data in the first column of Xin are scaled from [-10 +10], the data in the second column of Xin are scaled from [-5 +5], and the data in Xout are scaled from [0 20]. Xin1 = 7*rand(50,1); Xin2 = 20*rand(50,1)-10; Xin = [Xin1 Xin2]; Xout = 5*rand(50,1); fismat = genfis2(Xin,Xout,0.5,[-10 -5 0; 10 5 20]) See Also subclust, genfis1, genfis3, anfis 4-38
genfis3 Purpose Syntax Description Generate <strong>Fuzzy</strong> Inference System structure from data using FCM clustering fismat = genfis3(Xin,Xout) fismat = genfis3(Xin,Xout,type) fismat = genfis3(Xin,Xout,type,cluster_n) fismat = genfis3(Xin,Xout,type,cluster_n,fcmoptions) genfis3 generates a FIS using fuzzy c-means (FCM) clustering by extracting a set of rules that models the data behavior. The function requires separate sets of input and output data as input arguments. When there is only one output, you can use genfis3 to generate an initial FIS for anfis training. The rule extraction method first uses the fcm function to determine the number of rules and membership functions for the antecedents and consequents. fismat = genfis3(Xin,Xout) generates a Sugeno-type FIS structure (fismat) giveninputdataXin and output data Xout. ThematricesXin and Xout have one column per FIS input and output, respectively. fismat = genfis3(Xin,Xout,type) generates a FIS structure of the specified type, wheretype is either 'mamdani' or 'sugeno'. fismat = genfis3(Xin,Xout,type,cluster_n) generates a FIS structure of the specified type and allows you to specify the number of clusters (cluster_n) to be generated by FCM. The number of clusters determines the number of rules and membership functions in the generated FIS. cluster_n must be an integer or 'auto'. Whencluster_n is 'auto', the function uses the subclust algorithm with a radii of 0.5 and the minimum and maximum values of Xin and Xout as xBounds to find the number of clusters. See subclust for more information. fismat = genfis3(Xin,Xout,type,cluster_n,fcmoptions) generates a FIS structure of the specified type and number of clusters and uses the specified fcmoptions for the FCM algorithm. If you omit fcmoptions, the function uses the default FCM values. See fcm for information about these parameters. 4-39
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Fuzzy Logic Toolbox 2 User’s Guid
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Revision History January 1995 First
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Overview of Fuzzy Inference Process
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Simulink Environment ..............
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x Contents
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1 Getting Started Product Overview
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1 Getting Started If you just want
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1 Getting Started Another basic con
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1 Getting Started Input Space (all
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1 Getting Started do a fine job wit
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1 Getting Started An Introductory E
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1 Getting Started See how the formu
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1 Getting Started tip=(0.15)*servRa
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1 Getting Started 0.25 0.2 tip 0.15
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1 Getting Started or perhaps rewrit
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2 Tutorial Overview The point of fu
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2 Tutorial Foundations of Fuzzy Log
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2 Tutorial How does it work? Reason
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2 Tutorial One of the most commonly
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2 Tutorial A fuzzy set is an extens
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2 Tutorial Polynomial based curves
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2 Tutorial A B min(A,B) A B max(A,B
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2 Tutorial the fuzzy sets to be com
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2 Tutorial if temperature is cold t
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2 Tutorial Fuzzy Inference Systems
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2 Tutorial Information flows from l
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2 Tutorial selects the maximum of t
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2 Tutorial In the following diagram
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2 Tutorial 1. if and then Interpret
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2 Tutorial Customization Oneofthepr
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2 Tutorial adaptive neural fuzzy in
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2 Tutorial Getting Started We’ll
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2 Tutorial Name of the system. Chan
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2 Tutorial 8 Select File > Export >
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2 Tutorial Editor shares some featu
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2 Tutorial can first use the mouse
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2 Tutorial d Verify that 3 is selec
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2 Tutorial 5 In the FIS Variables a
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2 Tutorial Now that the variables h
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2 Tutorial one of the variable qual
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2 Tutorial A literal interpretation
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2 Tutorial Notice that under food,
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2 Tutorial Upon opening the Surface
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2 Tutorial Building Fuzzy Inference
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2 Tutorial Specifying Custom Member
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2 Tutorial 3 In the FIS Editor, sel
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2 Tutorial Using the custmf1 exampl
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2 Tutorial 6 To add custom membersh
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2 Tutorial In the toolbox, the AND
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2 Tutorial 1 In the lower-left pane
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2 Tutorial Working from the Command
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2 Tutorial The structure.field synt
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2 Tutorial After closing any open M
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2 Tutorial 25 20 tip 15 10 5 10 8 6
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2 Tutorial a.output(1).mf(2).type='
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2 Tutorial All the information for
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2 Tutorial 44. 2 The list of comman
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2 Tutorial Working in Simulink Envi
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2 Tutorial 2 1.8 1.6 1.4 1.2 1 0.8
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2 Tutorial 0.8 0.6 0.4 0.2 valve 0
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2 Tutorial If you stop the simulati
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2 Tutorial FIS. This automatic mode
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2 Tutorial Type slcp attheMATLABpro
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2 Tutorial As the figure shows, the
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2 Tutorial The final output of the
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2 Tutorial the Sugeno-type represen
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2 Tutorial and the membership funct
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2 Tutorial anfis and the ANFIS Edit
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2 Tutorial alone or in combination
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2 Tutorial Constraints of anfis anf
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2 Tutorial You can also load Testin
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2 Tutorial Validating the Trained F
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2 Tutorial The training data appear
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2 Tutorial 1 Choose Grid partition,
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2 Tutorial Viewing Your FIS Structu
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2 Tutorial The plot shows the check
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2 Tutorial • Select the Checking
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2 Tutorial In this case, the checki
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2 Tutorial anfis from the Command L
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2 Tutorial data values. You use the
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2 Tutorial subplot(2,2,4) plotmf(fi
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2 Tutorial Thedifferencebetweentheo
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2 Tutorial As a result, the trainin
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2 Tutorial Output FIS Structure for
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2 Tutorial Output FIS Structure for
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2 Tutorial right location within a
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2 Tutorial Here, the variable cente
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2 Tutorial Finally, plot the two cl
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2 Tutorial The genfis2 function bui
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2 Tutorial fismat=genfis2(datin,dat
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2 Tutorial At this point, you can u
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2 Tutorial The next figure shows th
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2 Tutorial you fit the fuzzy system
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2 Tutorial Plot the checking error
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2 Tutorial information on the clust
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2 Tutorial Saving the Cluster Cente
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Page 200 and 201: 2 Tutorial 7 To verify that the fuz
Page 202 and 203: 3 Function Reference GUI Tools and
Page 204 and 205: 3 Function Reference FIS Data Struc
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Page 208 and 209: addmf Purpose Syntax Description Ad
Page 210 and 211: addrule Purpose Syntax Description
Page 212 and 213: anfis Purpose Syntax Description Tr
Page 214 and 215: anfis training data set. When you s
Page 216 and 217: anfisedit Purpose Syntax Descriptio
Page 218 and 219: defuzz Purpose Syntax Description D
Page 220 and 221: dsigmf See Also gaussmf, gauss2mf,
Page 222 and 223: evalfis • ORR: the result of eval
Page 224 and 225: fcm Purpose Syntax Description Fuzz
Page 226 and 227: findcluster Purpose Syntax Descript
Page 228 and 229: fuzarith Purpose Syntax Description
Page 230 and 231: fuzzy Purpose Syntax Open basic Fuz
Page 232 and 233: fuzzy Membership functions to invok
Page 234 and 235: gauss2mf See Also dsigmf, gauss2mf,
Page 236 and 237: gbellmf Purpose Syntax Description
Page 238 and 239: genfis1 The default number of membe
Page 240 and 241: genfis2 Purpose Syntax Description
Page 242 and 243: genfis2 Xin1 = 7*rand(50,1); Xin2 =
Page 246 and 247: genfis3 The input membership functi
Page 248 and 249: genfis3 Example 3 The following exa
Page 250 and 251: gensurf Example 1 a = readfis('tipp
Page 252 and 253: getfis 'inlabels' 'outlabels' 'inra
Page 254 and 255: getfis getfis(a,'input',1) Name = s
Page 256 and 257: mam2sug Purpose Syntax Description
Page 258 and 259: mf2mf 1 0.9 0.8 0.7 0.6 0.5 0.4 0.3
Page 260 and 261: mfedit Selecttheiconforthevariableo
Page 262 and 263: newfis DefuzzMethod ans = [newsys]
Page 264 and 265: pimf Purpose Syntax Description Exa
Page 266 and 267: plotmf Purpose Syntax Description E
Page 268 and 269: psigmf Purpose Syntax Description B
Page 270 and 271: mmf Purpose Syntax Description Remo
Page 272 and 273: mvar Purpose Syntax Description Rem
Page 274 and 275: uleedit Purpose Syntax Description
Page 276 and 277: uleview Purpose Syntax Rule viewer
Page 278 and 279: setfis Purpose Syntax Description S
Page 280 and 281: sffis Purpose Syntax Description Fu
Page 282 and 283: showfis 24. average 25. generous 26
Page 284 and 285: showrule 1. (service==poor) | (food
Page 286 and 287: sigmf See Also dsigmf, gaussmf, gau
Page 288 and 289: subclust Purpose Syntax Description
Page 290 and 291: subclust Examples [C,S] = subclust(
Page 292 and 293: surfview If you want to create a sm
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trapmf Purpose Syntax Description T
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trimf Purpose Syntax Description Tr
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writefis Purpose Syntax Description
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zmf See Also dsigmf, gaussmf, gauss
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5 Block Reference Controllers Fuzzy
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5 Block Reference Membership Functi
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Diff. Sigmoidal MF Purpose Descript
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Fuzzy Logic Controller with Rulevie
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Gaussian2 MF Purpose Description Co
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Pi-shaped MF Purpose Description Se
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Probabilistic Rule Agg Purpose Desc
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S-shaped MF Purpose Description See
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Trapezoidal MF Purpose Description
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Z-shaped MF Purpose Description See
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A Examples Introductory Examples
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B Bibliography [1] Bezdec, J.C., Pa
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B Bibliography [22] Zadeh, L.A.,
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Glossary fuzzy c-means clustering A
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Glossary Glossary-4
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Index H hybrid method 2-121 I if-th
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What Is Fuzzy Logic?

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